Construction of approximate \(C^1\) bases for isogeometric analysis on two-patch domains
From MaRDI portal
Publication:2237742
DOI10.1016/j.cma.2021.114017zbMath1502.65220arXiv2103.02980OpenAlexW3133606027MaRDI QIDQ2237742
Pascal Weinmüller, Thomas Takacs
Publication date: 28 October 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.02980
biharmonic equationgeometric continuityfourth order partial differential equationapproximate \(C^1\) continuity\( C^1\) continuity
Related Items (6)
Almost-\(C^1\) splines: biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems ⋮ Isogeometric analysis for multi-patch structured Kirchhoff-Love shells ⋮ Adaptive isogeometric methods with C1 (truncated) hierarchical splines on planar multi-patch domains ⋮ Rational reparameterization of unstructured quadrilateral meshes for isogeometric analysis with optimal convergence ⋮ An approximate \(C^1\) multi-patch space for isogeometric analysis with a comparison to Nitsche's method ⋮ \(G^1\)-smooth biquintic approximation of Catmull-Clark subdivision surfaces
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Anisotropic NURBS approximation in isogeometric analysis
- Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries
- Isogeometric spline forests
- Isogeometric shell analysis with Kirchhoff-Love elements
- The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches
- Adaptively refined multi-patch B-splines with enhanced smoothness
- An isogeometric \(C^{1}\) subspace on unstructured multi-patch planar domains
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Bézier and B-spline techniques
- Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology
- Unstructured spline spaces for isogeometric analysis based on spline manifolds
- Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces
- Isogeometric analysis with strong multipatch \(C^{1}\)-coupling
- Isogeometric mortar methods
- Nitsche's method for a coupling of isogeometric thin shells and blended shell structures
- A hybrid isogeometric approach on multi-patches with applications to Kirchhoff plates and eigenvalue problems
- Isogeometric analysis with geometrically continuous functions on two-patch geometries
- Isogeometric analysis with \(C^1\) functions on planar, unstructured quadrilateral meshes
- Strong multipatch \(C^1\)-coupling for isogeometric analysis on 2D and 3D domains
- A super-smooth \(C^1\) spline space over planar mixed triangle and quadrilateral meshes
- Smooth multi-patch discretizations in isogeometric analysis
- Isogeometric analysis with geometrically continuous functions on planar multi-patch geometries
- Discontinuous Galerkin isogeometric analysis for the biharmonic equation
- A comparative study of several classical, discrete differential and isogeometric methods for solving Poisson's equation on the disk
- Dimension and basis construction for analysis-suitable \(G^1\) two-patch parameterizations
- Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements
- A Nitsche-type formulation and comparison of the most common domain decomposition methods in isogeometric analysis
- A Priori Error Analysis for the hp-Version of the Discontinuous Galerkin Finite Element Method for the Biharmonic Equation
- Isogeometric Analysis
- Mathematical analysis of variational isogeometric methods
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
This page was built for publication: Construction of approximate \(C^1\) bases for isogeometric analysis on two-patch domains
